Solve Set Logic Homework: A∩B

Step 3 : The list should be finite/infinte based on the constraintsStep 4 : Make sure the list satisfies the constraintsIn summary, the question asks to find the intersection of two sets, A and B, where A is the set of natural numbers greater than or equal to 4, and B is the set of natural numbers less than 5. The solution involves listing the members of each set and finding the common elements, satisfying the given constraints.
  • #1
nirajnishad
16
0

Homework Statement


X={n/n belongs to N,X>=4}
B={x belongs N/ x<5}


Homework Equations


then,
A intersection B=________
 
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  • #2


Your post has several errors in it. There's no A until the final line of your post and your set X contains only elements such that X>=4 which doesn't make any sense.

I assume your intended question is
[tex]A= \{x\ :\ x\in \mathbb{N}\ &\ x\geq4 \}[/tex]
[tex]B=\{x\ :\ x\in \mathbb{N}\ &\ x<5 \}[/tex]

and you want to find [tex]A\cap B[/tex]

You have to show what work you've done so far. How have you tried to solve the problem?
 
  • #3


Assuming, as Office Shredder suggests, that your sets are
[itex]A= \{n |n\in \mathbb{N} , \ n\ge 4\}[/itex]
and
[itex]B= \{n| n\in \mathbb{N} ,\ n< 5\}[/itex]

Can you list some members of A and b? What natural numbers are greater than or equal to 4? What natural numbers are less than 5?
 
  • #4


The problem is solved already. Look at the last post. I guess the problem right now is that you are attempting to imagine or list down the members...

Lesson Learnt:
Step 1 : imagine the set constraints/description
Step 2 : List the ocntents of the set and imagine a pattern
 

1. What is the meaning of A∩B in set logic?

In set logic, A∩B represents the intersection of two sets A and B. This means that A∩B includes all elements that are common to both sets A and B.

2. How do I solve A∩B in set logic?

To solve A∩B, you need to first list out all the elements in set A and set B. Then, you can identify the common elements between the two sets and write them down. These common elements will be the solution for A∩B.

3. What is the difference between A∩B and A∪B in set logic?

In set logic, A∩B represents the intersection of two sets A and B, which includes elements that are common to both sets. On the other hand, A∪B represents the union of two sets A and B, which includes all elements from both sets.

4. Can A∩B be an empty set?

Yes, it is possible for A∩B to be an empty set. This means that there are no common elements between the two sets A and B.

5. How can I visually represent A∩B?

A∩B can be visually represented using a Venn diagram, where the overlapping region between two circles represents the common elements in both sets A and B.

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